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In this paper, we inspect well-known population genetics and social dynamics models. In these models, interacting individuals, while participating in a self-organizing process, give rise to the emergence of complex behaviors and patterns.…

Populations and Evolution · Quantitative Biology 2012-07-11 Sven Banisch , Tanya Araújo

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

How the cells break symmetry and organize their edge activity to move directionally is a fun- damental question in cell biology. Physical models of cell motility commonly rely on gradients of regulatory factors and/or feedback from the…

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

Many living and non-living complex systems can be modeled and understood as collective systems made of heterogeneous components that self-organize and generate nontrivial morphological structures and behaviors. This chapter presents a brief…

Adaptation and Self-Organizing Systems · Physics 2018-01-09 Hiroki Sayama

We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

Statistical Mechanics · Physics 2007-05-23 Thimo Rohlf , Stefan Bornholdt

Nature is an inhabitant for enormous number of species. All the species do perform complex activities with simple and elegant rules for their survival. The property of emergence of collective behavior is remarkably supporting their…

The remarkable cohesion and coordination observed in moving animal groups and their collective responsiveness to threats are thought to be mediated by scale-free correlations, where changes in the behavior of one animal influence others in…

Biological Physics · Physics 2025-06-05 Haotian Hang , Chenchen Huang , Alex Barnett , Eva Kanso

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena,…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Graciano Dieck Kattas , Xiao-ke Xu , Michael Small

People organize in groups and contagions spread across them. A simple process, but complex to model due to dynamical correlations within groups and between groups. Groups can also change as agents join and leave them to avoid infection. To…

Physics and Society · Physics 2023-07-24 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

Swarming or collective motion of living entities is one of the most common and spectacular manifestations of living systems having been extensively studied in recent years. A number of general principles have been established. The…

Cell Behavior · Quantitative Biology 2014-06-06 Elod Mehes , Tamas Vicsek

Collective behaviour is a widespread phenomenon in biology, cutting through a huge span of scales, from cell colonies up to bird flocks and fish schools. The most prominent trait of collective behaviour is the emergence of global order:…

Statistical Mechanics · Physics 2015-06-16 A. Attanasi , A. Cavagna , L. Del Castello , I. Giardina , S. Melillo , L. Parisi , O. Pohl , B. Rossaro , E. Shen , E. Silvestri , M. Viale

We present a generic framework for modelling three-dimensional deformable shells of active matter that captures the orientational dynamics of the active particles and hydrodynamic interactions on the shell and with the surrounding…

Soft Condensed Matter · Physics 2019-11-20 Luuk Metselaar , Julia M. Yeomans , Amin Doostmohammadi

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

Statistical Mechanics · Physics 2026-04-20 Raphael Blumenfeld

Territorial behaviour is widespread in the animal kingdom, with creatures seeking to gain parts of space for their exclusive use. It arises through a complicated interplay of many different behavioural features. Extracting and quantifying…

Populations and Evolution · Quantitative Biology 2015-01-26 Jonathan R. Potts , Mark A. Lewis

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

Materials Science · Physics 2026-03-10 J. A. Sekhar

The implications of large-scale coherence in biological systems and possible links to quantum theory are only beginning to be explored. Whether quantum-like coherent phenomena are relevant, or even possible at all, at the high temperatures…

Other Quantitative Biology · Quantitative Biology 2012-12-04 Martin Robert

From bird flocks and fish schools to migrating cell sheets, collective motion is a ubiquitous biological phenomenon that inspires quantitative modeling through self-propelled particle (SPP) frameworks. Conventional SPP models prescribe…

Statistical Mechanics · Physics 2025-07-15 Y. Kikuchi , M. Iwamoto

We investigate the self-organising behaviour of Digital Ecosystems, because a primary motivation for our research is to exploit the self-organising properties of biological ecosystems. We extended a definition for the complexity, grounded…

Neural and Evolutionary Computing · Computer Science 2012-01-25 Gerard Briscoe , Philippe De Wilde

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

Emerging Technologies · Computer Science 2017-10-24 Alexandra Porter , Andréa W. Richa
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